Autore
Graf, Monique

Titolo
Regression for compositions based on a generalization of the Dirichlet distribution
Periodico
Statistical methods & applications : Journal of the Italian Statistical Society
Anno: 2020 - Volume: 29 - Fascicolo: 4 - Pagina iniziale: 913 - Pagina finale: 936

The simplex is the geometrical locus of D-dimensional positive data with constant sum, called compositions. A possible distribution for compositions is the Dirichlet. In Dirichlet models, there are no scale parameters and the D shapes are assumed dependent on auxiliary variables. This peculiar feature makes Dirichlet models difficult to apply and to interpret. Here, we propose a generalization of the Dirichlet, called the simplicial generalized Beta (SGB) distribution. It includes an overall shape parameter, a scale composition and the D Dirichlet shapes. The SGB is flexible enough to accommodate many practical situations. SGB regression models are applied to data from the United Kingdom Time Use Survey. The R-package SGB makes the methods accessible to users.



SICI: 1618-2510(2020)29:4<913:RFCBOA>2.0.ZU;2-K

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